Tentukan himpunan penyelesaian |2x-5|≤3

NiLai MutLak

|2x - 5| ≤ 3
-3 ≤ 2x - 5 ≤ 3
-3 + 5 ≤ 2x - 5 + 5 ≤ 3 + 5
2 ≤ 2x ≤ 8
2/2 ≤ 2x/2 ≤ 8/2
1 ≤ x ≤ 4

HP = {x| 1 ≤ x ≤ 4 , x e R}

|2x-5| ≤ 3
☞ 2x-5 ≤ 3
2x ≤ 3+5
2x ≤ 8
x ≤ 8/2
x ≤ 4
☞ -(2x-5) ≤ 3
-2x + 5 ≤ 3
-2x ≤ 3-5
-2x ≤ -2
x ≥ 1

HP : { 1 ≤ x ≤ 4 }